61. Biographie Wiles Translate this page Équipe académique Mathématiques, Christian Drouin, 4 avril 2001 mathématiciens.andrew wiles (né en 1953). andrew wiles est Anglais, né à Cambridge. http://www.ac-bordeaux.fr/Pedagogie/Maths/viemaths/mthacc/wiles.htm

, de Simon Singh, chez JC Lattes , ou, en en anglais, sur le une interview de Wiles C Z . On peut cependant la corriger pour la rendre valable. Sophie Germain

62. Andrew Wiles Biographical Sketches andrew wiles. Possible Sources andrew wiles, http//wwwgroups.dcs.st-andrews.ac.uk/~history/Mathematicians/wiles.html; http://www.ccsn.nevada.edu/math/matovina/math120/research/wiles.htm

Biographical Sketches: Andrew Wiles From The Proof , "Andrew Wiles devoted much of his entire career to proving Fermat's Last Theorem, the world's most famous mathematical problem. In 1993, he made front-page headlines when he announced a proof of the problem, but this was not the end of the story; an error in his calculation jeopardized his life's work. Andrew Wiles spoke to NOVA and described how he came to terms with the mistake, and eventually went on to achieve his life's ambition." Possible Sources: Andrew Wiles , http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Wiles.html The Proof , http://www.pbs.org/wgbh/nova/proof/wiles.html

63. CMI - Presentation Of The First CMI Award To Andrew Wiles Translate this page http://elib.zib.de/pub/Misc/MillenniumPrizeProblems/www.claymath.org/annual_meet

64. TU Berlin - Medieninformation Nr. 183e - 18. August 1998 With its special tribute, the International Mathematics Union (IMU)wishes to acknowledge andrew wiles' outstanding achievement. http://elib.zib.de/ICM98/TU-Presse/pi183e.htm

Medieninformation Nr. 183e - 18. August 1998 [TU Berlin] [Pressestelle] [Medieninformationen] Andrew J. Wiles awarded the "IMU silver plaque" The British mathematician Andrew J. Wiles has been honoured with the "IMU silver plaque" at 18 August. The chairman of the Fields Medals Committee, Yuri Manin, presented him with this award during the opening ceremony of the International Congress of Mathematicians in the Berlin International Congress Centre. This world congress of mathematicians, the largest and most important one worldwide, is taking place until 25th August. Some 3500 mathematicians from all over the world will be visiting Berlin to participate. During the congress, which is held every four years, four Fields Medals are awarded to outstanding mathematicians under the age of forty. In view of their significance the Fields Medals are often dubbed the "Nobel Prize of mathematics". Four years ago, Andrew J. Wiles was a hot favourite for an award, since in 1993 he had presented a proof of Fermat's Last Theorem - one of the most famous mathematical puzzles, which had remained unsolved for more than 350 years. Shortly afterwards, however, colleagues found a gap in the proof which Wiles was only able to close up a year later. But this was too late for the Fields Medal, because Wiles was then over the age limit of forty. With its special tribute, the International Mathematics Union (IMU) wishes to acknowledge Andrew Wiles' outstanding achievement.

65. ICM'98 Person Database Request Similar pages Ivars Peterson's MathLand The dramatic announcement in 1993 by andrew wiles that he had proved Fermat's LastTheorem appeared to belong to this category of discovery. wiles, andrew. http://elib.zib.de:88/cgi98/search_number?7645

66. Ivars Peterson's MathTrek - The Amazing ABC Conjecture Article by Ivars Peterson.Category Science Math Number Theory Open Problems ABC Conjecture...... Scientific American (November)6873. wiles, andrew. 1995. Modular ellipticcurves and Fermat's last theorem. Annals of Mathematics 141(May)443-551. http://www.maa.org/mathland/mathtrek_12_8.html

Ivars Peterson's MathTrek December 8, 1997 The Amazing ABC Conjecture In number theory, straightforward, reasonable questions are remarkably easy to ask, yet many of these questions are surprisingly difficult or even impossible to answer. Fermat's last theorem, for instance, involves an equation of the form x n y n z n . More than 300 years ago, Pierre de Fermat (1601-1665) conjectured that the equation has no solution if x y , and z are all positive integers and n is a whole number greater than 2. Andrew J. Wiles of Princeton University finally proved Fermat's conjecture in 1994. In order to prove the theorem, Wiles had to draw on and extend several ideas at the core of modern mathematics. In particular, he tackled the Shimura-Taniyama-Weil conjecture, which provides links between the branches of mathematics known as algebraic geometry and complex analysis. That conjecture dates back to 1955, when it was published in Japanese as a research problem by the late Yutaka Taniyama. Goro Shimura of Princeton and Andre Weil of the Institute for Advanced Study provided key insights in formulating the conjecture, which proposes a special kind of equivalence between the mathematics of objects called elliptic curves and the mathematics of certain motions in space. The equation of Fermat's last theorem is one example of a type known as a Diophantine equation an algebraic expression of several variables whose solutions are required to be rational numbers (either whole numbers or fractions, which are ratios of whole numbers). These equations are named for the mathematician Diophantus of Alexandria, who discussed such problems in his book

67. Henri Darmon - Home Page - Math McGill TW Taylor, Richard; wiles, andrew Ringtheoretic properties of certain Heckealgebras. W wiles, andrew Modular elliptic curves and Fermat's last theorem. http://www.math.mcgill.ca/darmon/

Quebec-Vermont Number Theory Seminar Graduate Student ... Software Henri Darmon Professor, Department of Mathematics. Office: Burnside Hall, Room 1221 Office Hours: By appointement. Office Phone: Office Fax: Recent Conferences August 8-12, 2001. NSF-CBMS lectures in Orlando, Florida. August 20-23, Plenary lecture, 2001 Canada-China Math Congress , Vancouver, British Columbia. November, 2001. Mini-course , Korea Institute for Advanced Study (KIAS). Here are some pictures December 10-14: Organisation of a workshop on special values of Rankin L-series , MSRI, Berkeley. (with Shouwu Zhang) January 3-6, 2002: Organisation of a workshop on Hilbert modular forms , in the Laurentians, Quebec. (with Eyal Goren) May 19-25, 2002. Participant, CNTA conference in Montreal. June 15-17, 2002. CMS summer meeting , Quebec City. July 1-5, 2002. Visit to Milano, Italy. July 8-12, 2002. Mini-course at Universite Paris VI, Jussieu, on Modular elliptic curves and the Birch and Swinnerton-Dyer conjecture. July 15-18, 2002. Invited speaker, Modular curves and abelian varieties conference in Barcelona, Spain.

68. Stephen Wolfram: A New Kind Of Science -- Index T-z and history of complexity, 862 and reactiondiffusion, 1013 Wiesenfeld, Kurt A. (USA,1958- ) and self-organized criticality, 989 wiles, andrew J. (England/USA http://www.wolframscience.com/nks/index/names/t-z.html?SearchIndex=t-z

69. Scientific American: Ask The Experts: Mathematics: Are Mathematicians Finally Sa Are mathematicians finally satisfied with andrew wiles's proof of Fermat'sLast Theorem? Why has this theorem been so difficult to prove? http://www.sciam.com/askexpert_question.cfm?articleID=000DBA55-B698-1C71-9EB7809

70. Wiles Close Window Today is andrew John wiles' Birthday! Happy Birthday andrew!Born April 11, 1953 in Cambridge, England. Department of Mathematics. http://curvebank.calstatela.edu/birthdayindex/apr/apr11wiles/apr11wiles.htm

Close Window Today is Andrew John Wiles' Birthday! Happy Birthday Andrew! Born: April 11, 1953 in Cambridge, England Department of Mathematics Fine Hall Princeton University April, 2002

71. Paths To Erdos H. 4 Thompson, John G. 3 Thurston, William P. 3 Tits, Jacques 4 Uhlenbeck, KarenK. 3 Varadhan, Srinivasa SR 2 Whitehead, George W. 4 wiles, andrew J. 3 Yau http://www.oakland.edu/~grossman/erdpaths.html

The tables below shows of some famous scientists and mathematicians, including many Nobel laureates . Further details, including the paths that establish these numbers and many other people, can be found in LATeX postscript , and pdf (35 pages). It appears (somewhat abbreviated) in The Mathematical Intelligencer Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales In addition, we have listed on a separate page the collaboration paths Fields Medal , the Nevanlinna Prize , the Wolf Prize in Mathematics , and the Steele Prize for Lifetime Achievement , as well as a few others. Perhaps the most famous contemporary mathematician, Andrew Wiles , was too old to receive a Fields Medal (but was given a Special Tribute by the Committee at the 1998 ICM ANDREW ODLYZKO to Chris M. Skinner to Wiles. William H. (Bill) Gates , who published with Christos H. Papadimitriou in 1979, who published with Xiao Tie Deng PAVOL HELL We would like to acknowledge and thank the dozens of people, too numerous to mention by name, who have written in with suggestions, additions, and corrections to these lists. We would appreciate further help from anybody with relevant information. Nobel Prize winners Fields Medal winners Nevanlinna Prize winners Wolf Prize in Mathematics winners Steele Prize (Lifetime Achievement) winners Mathematics members of the National Academy of Sciences as of 2001 Other distinguished scholars Alan Turing computer science 5 George Uhlenbeck atomic physics 2 John von Neumann mathematics 3 John A. Wheeler nuclear physics 3

72. TU Berlin - Medieninformation Nr. 183 - 18. August 1998 andrew J. wiles ist am 18. andrew J. wiles (geb. 11. http://www.tu-berlin.de/presse/pi/1998/pi183.htm

Medieninformation Nr. 183 - 18. August 1998 [TU Berlin] [Pressestelle] [Medieninformationen] Andrew J. Wiles mit der "IMU silver plaque" geehrt Der britische Mathematiker Andrew J. Wiles ist am 18. August 1998 mit der "IMU silver plaque" der Internationalen Mathematischen Union ausgezeichnet worden. Der Vorsitzende des Fields-Medaillen-Komitee, Yuri Manin, überreichte ihm die Auszeichnung während der Eröffnungszeremonie des Internationalen Mathematiker Kongresses Fields-Medaillen an herausragende Mathematiker unter 40 Jahren verteilt. Wegen ihrer großen Bedeutung werden die Fields-Medaillen meist "Nobelpreise der Mathematik" genannt. Andrew J. Wiles galt vor vier Jahren als aussichtsreicher Kandidat für die Auszeichnung, da er 1993 einen vorlegte - eines der berühmtesten mathematischen Rätsel überhaupt, das mehr als 350 Jahre ungelöst blieb. Wenig später aber fanden Experten eine Lücke in seiner Argumentation, die Wiles erst ein Jahr später lösen konnte. Für die Fields-Medaille war dies zu spät, da Wiles sein 40. Lebensjahr bereits erreicht hatte. Mit dem "Special Tribute" möchte die Internationale Mathematische Union (IMU) Andrew J. Wiles' herausragende Leistung in anderer Weise ehren. Andrew J. Wiles

73. Science/fermats Last Theorem What is the current status of FLT? teo197. andrew wiles, a researcherat Princeton, claims to have found a proof. The proof was presented http://www.urbanlegends.com/science/fermats_last_theorem.html

The AFU and Urban Legend Archive Science fermats last theorem Select a topic Home Searches AFU FAQ AFU Animals Books Celebrities Classic Collegiate Death Disney Drugs Food GIF Language Legal Medical Misc Movies Politics Products Religion Science Sex Songs TV Other sites Newsgroups: sci.math From: alopez-o@neumann.uwaterloo.ca (Alex Lopez-Ortiz) Subject: sci.math FAQ: Fermat's Last Theorem Date: Fri, 19 Apr 1996 00:12:05 GMT FERMAT'S LAST THEOREM History of Fermat's Last Theorem Pierre de Fermat (1601-1665) was a lawyer and amateur mathematician. In about 1637, he annotated his copy (now lost) of Bachet's translation of Diophantus' Arithmetika with the following statement: Cubem autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et generaliter nullam in infinitum ultra quadratum potestatem in duos ejusdem nominis fas est dividere: cujus rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caparet. In English, and using modern terminology, the paragraph above reads as: Fermat never published a proof of this statement. It became to be known as Fermat's Last Theorem (FLT) not because it was his last piece of work, but because it is the last remaining statement in the post-humous list of Fermat's works that needed to be proven or independently verified. All others have either been shown to be true or disproven long ago.

74. Junior British League Gareth wiles v andrew O'Mahoney 03 Alex Runham v Hamish Yeung 1-3 Samuel Fullerv David Brightman 2-3 Gareth wiles v Hamish Yeung 2-3 Samuel Fuller v andrew O http://www.etta.co.uk/BritLg/bl0102/Junior/jb01ma5.htm

Junior British League Boys Division 3A Match Details Final Results - Season 2001/2 Oakbank B versus Ellenborough Away Win 1- 5 Gareth Wiles v Matthew Thomas 3-1 Adam Broadbent v James Smith 0-3 Samuel Fuller v David Fitzgerald 0-3 Gareth Wiles v James Smith 2-3 Samuel Fuller v Matthew Thomas 0-3 Adam Broadbent v David Fitzgerald 1-3 Bedford Modern versus Peterborough Draw 3- 3 Hamish Yeung v Ashley Sterry 3-1 Oliver Young v Adam Frost 0-3 Andrew O'Mahoney v Simon Le Provost 3-1 Hamish Yeung v Adam Frost 1-3 Andrew O'Mahoney v Ashley Sterry 3-0 Oliver Young v Simon Le Provost 0-3 Truro Tigers versus London Progress B Home Win 4- 2 Jacob Kodicek v Michael Persaud 3-1 Jonathan Randall v David Langer 2-3 Adam Tatlow v Daniel Flash 3-1 Jacob Kodicek v David Langer 3-0 Adam Tatlow v Michael Persaud 3-2 Jonathan Randall v Daniel Flash 0-3 Truro Tigers versus Oakbank B Home Win 6- Jacob Kodicek v Adam Broadbent 3-0 Jonathan Randall v Alex Runham 3-0 Darren Reid v Samuel Fuller 3-1 Jacob Kodicek v Alex Runham 3-0 Darren Reid v Adam Broadbent 3-1 Jonathan Randall v Samuel Fuller 3-0

75. Parla Il Matematico Inglese Andrew Wiles: La Sua Dimostrazione Del «teorema Di Translate this page 17. Parla il matematico inglese andrew wiles la sua dimostrazione del «teoremadi Fermat» serve a studiare la sicurezza su Internet «Con i miei calcoli sono http://www.giornaledibrescia.it/giornale/2000/09/12/17,CULTURA/T3.html

H ome A rchivio ... inema e tv Pagine: Sezioni: PRIMA PAGINA SECONDA PAGINA DALL'INTERNO DALL'ESTERO ... LETTERE AL DIRETTORE C ULTURA Pag. Parla il matematico inglese Andrew Wiles: la sua dimostrazione del «teorema di Fermat» serve a studiare la sicurezza su Internet «Con i miei calcoli sono utile al web» Il matematico inglese Andrew Wiles Il britannico Andrew Wiles è il matematico più famoso del mondo da quando, nel giugno del 1993, fu il protagonista del più importante evento matematico del secolo, esponendo a Cambridge la sua dimostrazione del famoso «ultimo teorema di Fermat», che per tre secoli e mezzo aveva resistito a tutti gli assalti. Un enigma che in parole semplici può essere enunciato così. Mentre 3 al quadrato (9) più 4 al quadrato (16) è uguale a 5 al quadrato (25), la somma di 3 al cubo (27) e 4 al cubo (64) non è un altro cubo. Intorno al 1640 Pierre Fermat annotò sul margine di un libro di Diofanto di Alessandria un teorema - ma sarebbe meglio chiamarla congettura, dal momento che il matematico francese non dava la dimostrazione di quanto affermava - che diceva: la somma di due numeri elevati a una potenza n (x n +y n ) non può essere uguale a un terzo numero elevato alla stessa potenza (z n ), se x, y, z sono numeri interi diversi da zero e

76. Matematikkens Præmieår nedenfor. Eller læs et dansk resumé. Da andrew wiles for nogle årsiden beviste »Fermats sidste sætning«, skete det efter ca. http://www.cozmo.dk/cramer/mat.html

Matematik Af Michael Cramer Andersen Nye og gamle problemer Et af de vanskelige problemer hedder Navier-Stokes eksistens og kontinuitet "Studier i et badekar" Da Andrew Wiles Fields-medaljen En kreativ proces Matematik i naturen 7 matematiske mysterier Studier i et badekar . (artikel i Information, 7. august 2000). Millenium Prize Problems, www.claymath.org/prize_problems/ www.mip.sdu.dk/mat2000/ Fieldmedalje modtagere (Andrew Wiles), elib.zib.de/IMU/medals/ Interview med Andrew Wiles, www.pbs.org/wgbh/nova/proof/wiles.html Andrew Wiles biografi, www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Wiles.html Andrew Wiles' artikel hedder "Modular elliptic curves and Fermat's Last Theorem" og findes i tidsskriftet Annals of Mathematics bind 141, nr. 3 (1995), side 443-551. Bragt i Informat on den 29. juli 2000. Se andre artikler af Cramer

77. MATH2000 - Histoire Translate this page Le 23 juin 1993, à l'Institut Isaac Newton à Cambridge, andrew wiles achèvele dernier de ses trois exposés sur les « Courbes elliptiques, formes http://www.crm.umontreal.ca/math2000/pub/histoire.html

HISTOIRE Fermat par Henri Darmon L'auteur Pour en savoir plus www.math.mcgill.ca/darmon Arithmetica + y = z + y = z n + y n = z n Retour aux sources retour vers le haut

78. What Is The Current Status Of FLT? What is the current status of FLT? andrew wiles, a researcher at Princeton,claims to have found a proof. The proof was presented http://db.uwaterloo.ca/~alopez-o/math-faq/node24.html

Next: Related Conjectures Up: Fermat's Last Theorem Previous: History of Fermat's Last What is the current status of FLT? Andrew Wiles, a researcher at Princeton, claims to have found a proof. The proof was presented in Cambridge, UK during a three day seminar to an audience which included some of the leading experts in the field. The proof was found to be wanting. In summer 1994, Prof. Wiles acknowledged that a gap existed. On October 25th, 1994, Prof. Andrew Wiles released two preprints, Modular elliptic curves and Fermat's Last Theorem , by Andrew Wiles, and Ring theoretic properties of certain Hecke algebras , by Richard Taylor and Andrew Wiles. The first one (long) announces a proof of, among other things, Fermat's Last Theorem, relying on the second one (short) for one crucial step. The argument described by Wiles in his Cambridge lectures had a serious gap, namely the construction of an Euler system. After trying unsuccessfully to repair that construction, Wiles went back to a different approach he had tried earlier but abandoned in favor of the Euler system idea. He was able to complete his proof, under the hypothesis that certain Hecke algebras are local complete intersections. This and the rest of the ideas described in Wiles' Cambridge lectures are written up in the first manuscript. Jointly, Taylor and Wiles establish the necessary property of the Hecke algebras in the second paper. The new approach turns out to be significantly simpler and shorter than the original one, because of the removal of the Euler system. (In fact, after seeing these manuscripts Faltings has apparently come up with a further significant simplification of that part of the argument.)

79. Fermat's Last Theorem andrew wiles, a researcher at Princeton, claims to have found a proof.The proof was presented in Cambridge, UK during a three day http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node9.html

Next: Prime Numbers Up: Number Theory Previous: Number Theory Fermat's Last Theorem History of Fermat's Last Theorem Pierre de Fermat (1601-1665) was a lawyer and amateur mathematician. In about 1637, he annotated his copy (now lost) of Bachet's translation of Diophantus' Arithmetika with the following statement: Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et generaliter nullam in infinitum ultra quadratum potestatem in duos ejusdem nominis fas est dividere: cujus rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet. In English, and using modern terminology, the paragraph above reads as: There are no positive integers such that x^n + y^n = z^n for . I've found a remarkable proof of this fact, but there is not enough space in the margin [of the book] to write it. Fermat never published a proof of this statement. It became to be known as Fermat's Last Theorem (FLT) not because it was his last piece of work, but because it is the last remaining statement in the post-humous list of Fermat's works that needed to be proven or independently verified. All others have either been shown to be true or disproven long ago. What is the current status of FLT?

80. A TaSte Of Art - Andrew Hodges several difficulties. One was having to follow a beautiful talk bySir andrew wiles on Fermat's famous last theorem. Sir andrew http://www.synth.co.uk/images/tate2.html

s four pages: by Andrew Hodges You are now on the second page of our tour of central London, 27 July 2000. Join us as we head towards the Tate Modern gallery of ART, looking around us on our way. We are still on the north bank of the Thames. Keep open your street map. First we visit the very grand Somerset House which has recently been released from government use and taken over by the Courtauld Institute of ART. What strikes me about the Courtauld Institute is its lavish accommodation, as compared with its immediate neighbour in the University of London, King's College, London, and in particular its Department of Mathematics. art/maths In June 2000 I was a speaker at a King's College event for school students thinking of applying for a maths degree course. I was asked to talk about how the Enigma cipher was cracked, and had several difficulties. One was having to follow a beautiful talk by Sir Andrew Wiles on Fermat's famous last theorem. Sir Andrew Wiles (centre) posing in the common room of the Mathematics Department at King's College, London. Note the decor.

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